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2 years ago

Use the distributive property to write the following expressions in expanded form.

Mathematics

1 answer:

Dmitry_Shevchenko [17]2 years ago

7 0

Answer:

Step-by-step explanation:

a. 4x+4y

b. 8a+24b

c. 6x+33y

d. 63a+54b

e. 3ac+bc

f. 2xy+11yz

You might be interested in

The average distance from the sun to the planet Mercury is about 58,000,000 km. The diameter of a human hair is about 0.0025 cm.

Anna [14]

Answer:

Distance of Sun and Mercury = 58,000,000 km.

In Scientific notation, it would be: 5.8 × 10⁷ Km

Diameter of a human hair = 0.0025 cm

In scientific notation, it would be: 2.5 × 10⁻³ cm

Before Comparison, we need to bring to or vice-versa, so we can easily calculate then, here, we will go from cm to Km.

2.5 × 10⁻³ × 10⁻⁵ Km = 2.5 × 10⁻⁸

Now, we can compare the values,

5.8 × 10⁷ Km > 2.5 × 10⁻⁸

[ reason. - power of smaller number is in negative, it means, it is denominator, which would be very small as compared to other ]

5 0

3 years ago

Read 2 more answers

Please help. How do you find cosine, sine, cosecant and secant with this triangle?

Veseljchak [2.6K]

Hi there! You have to remember these 6 basic Trigonometric Ratios which are:

sine (sin) = opposite/hypotenuse
cosine (cos) = adjacent/hypotenuse
tangent (tan) = opposite/adjacent
cosecant (cosec/csc) = hypotenuse/opposite
secant (sec) = hypotenuse/adjacent
cotangent (cot) = adjacent/opposite
cosecant is the reciprocal of sine
secant is the reciprocal of cosine
cotangent is the reciprocal of tangent

Back to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.

What we have now are:

Trigonometric Ratio
Adjacent = 12
Opposite = 10

Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!

a²+b² = c²

Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite

Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.

10²+12² = c²
100+144 = c²
244 = c²

Thus, the hypotenuse is:

$\large \boxed{c = 2 \sqrt{61} }$

Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:

cosine (cosθ) = adjacent/hypotenuse = 12/(2√61) = 6/√61 = (6√61) / 61
sine (sinθ) = opposite/hypotenuse = 10/(2√61) = 5/√61 = (5√61) / 61
cosecant (cscθ) is reciprocal of sine (sinθ). Hence, cscθ = (2√61/10) = √61/5
secant (secθ) is reciprocal of cosine (cosθ). Hence, secθ = (2√61)/12 = √61/6

Questions can be asked through comment.

Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.

Hope this helps, and Happy Learning! :)

5 0

3 years ago

Josh has 40 minutes to complete a government exam. There are 15 multiple-choice questions worth 3 points each. There are also 5

Sauron [17]

Since there is no graph presented, I will give an example. For instance you are given, 2n is greater than 30 and 5n is less than 100 and you are asked to find the value of n. This is an example of an inequality problem. You are given 2n is greater than 30 and 5n is less than 100. You are asked to find for the value of n. You need to know that greater means this sign ‘>’ and lesser means ‘<’ sign. So if you have 2n is greater than 30, this is equal to 2n>30 and 5n is less than 100 is 5n<100. The ‘and’ means equal sign ‘=’. So,

2n>30+5n<100

2n-5n

8 0

2 years ago

1: 18 is __ % of 30

Zigmanuir [339]

Answer:

1. 60%

2. 70

3. 8%

Step-by-step explanation:

I attached pictures to show my work (sorry if they’re a bit messy)!

4 0

1 year ago

Mai skated x miles, and Clare skatedfarther than that. Write an expression for the distance Clare skated.

Afina-wow [57]

Answer:

Clare skated $(x+y)\ miles.$

Step-by-step explanation:

Given Distance skated by Mai = x miles.

Let the extra distance skated by Clare than Mai be y miles.

Solution,

Total distance skated by Clare = Distance skated by Mai + Extra distance skated by Clare than Mai

Now substituting the values we get;

$Total\ distance\ skated\ by\ Clare = (x+y)\ miles.$

3 0

2 years ago